The DSR-deformed relativistic symmetries and the relative locality of 3D quantum gravity
arXiv:1210.7834 · doi:10.1088/0264-9381/30/6/065012
Abstract
Over the last decade there were significant advances in the understanding of quantum gravity coupled to point particles in 3D (2+1-dimensional) spacetime. Most notably it is emerging that the theory can be effectively described as a theory of free particles on a momentum space with anti-deSitter geometry and with noncommutative spacetime coordinates of the type . We here show that the recently proposed relative-locality curved-momentum-space framework is ideally suited for accommodating these structures characteristic of 3D quantum gravity. Through this we obtain an intuitive characterization of the DSR-deformed Poincaré symmetries of 3D quantum gravity, and find that the associated relative spacetime locality is of the type producing dual-gravity lensing.
arXiv commentLaTex, 12 pages, 3 figures
References in corpus (33)
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Testable scenario for Relativity with minimum-length
- Bicrossproduct structure of -Poincare group and non-commutative geometry
- Generalized Lorentz invariance with an invariant energy scale
- Gravity's Rainbow
- Classical and Quantum Mechanics of Free \k Relativistic Systems
- The principle of relative locality
- Quantization of Point Particles in 2+1 Dimensional Gravity and Space-Time Discreteness
- 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
- Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
- Non-commutative space-time of Doubly Special Relativity theories
- Quantum symmetry, the cosmological constant and Planck scale phenomenology
- Observer-independent quanta of mass and length
- Prospects for constraining quantum gravity dispersion with near term observations
- Quantum Mechanics of a Point Particle in 2+1 Dimensional Gravity
- 2+1 gravity and Doubly Special Relativity
- Phenomenology of Doubly Special Relativity
- Relative locality: A deepening of the relativity principle
- Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
- Noncommutative geometry of angular momentum space U(su(2))
- Generalised Chern-Simons actions for 3d gravity and kappa-Poincare symmetry
- Relative-locality distant observers and the phenomenology of momentum-space geometry
- Canonical Quantization of Gravitating Point Particles in 2+1 Dimensions
- Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity
- Poisson structure and symmetry in the Chern-Simons formulation of (2+1)-dimensional gravity
- Topological field theory and the quantum double of SU(2)
- On the fate of Lorentz symmetry in relative-locality momentum spaces
- On reaction thresholds in doubly special relativity
- About Locality and the Relativity Principle Beyond Special Relativity
- Modeling transverse relative locality
- Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity
- On the semiduals of local isometry groups in 3d gravity
- Reply to arXiv:1006.2126 by Giovanni Amelino-Camelia et al
Cited by in corpus (22)
- Charged BTZ black holes in the context of massive gravity's rainbow
- Constraints on neutrino speed, weak equivalence principle violation, Lorentz invariance violation, and dual lensing from the first high-energy astrophysical neutrino source TXS 0506+056
- Planck-scale phenomenology with anti-de Sitter momentum space
- Natural Cutoffs via Compact Symplectic Manifolds
- Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
- Geometric interpretation of Planck-scale-deformed co-products
- Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
- Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
- Quantum-gravity-induced dual lensing and IceCube neutrinos
- Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity
- Causality and momentum conservation from relative locality
- Extending general covariance: Moyal-type noncommutative manifolds
- Relative-locality phenomenology on Snyder spacetime
- Multi-particle systems in -Poincaré inspired by 2+1D gravity
- Early universe thermostatistics in curved momentum spaces
- Deformed phase spaces with group valued momenta
- UV dimensional reduction to two from group valued momenta
- Photon gas thermodynamics in dS and AdS momentum spaces
- Evidence for Planck Luminosity Bound in Quantum Gravity
- Anti-de Sitter Momentum Space in 3D and 4D Quantum Gravity
- Total momentum and other Noether charges for particles interacting in a quantum spacetime
- Five dimensional formulation of a DSR